Let \( R \) is a relation from \( \{11,12,13\} \) to \( \{8,10,12\} \) defined by \( y=x-3 \). T.... VIDEO
Let \( R \) is a relation from \( \{11,12,13\} \) to \( \{8,10,12\} \) defined by \( y=x-3 \). Then, \( R^{-1} \) is
(1) \( \{(8,11),(10,13)\} \)
\( \mathrm{P} \)
(2) \( \{(11,8),(13,10)\} \)
(3) \( \{(10,13),(8,11),(12,10)\} \)
(4) none of these
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2024-01-23 If \( f \) is a real valued function given by \( f(x)=27 x^{3}+ \)
\( \frac{1}{x^{3}} \) and \( .... 2024-01-23 The domain of the function \( f \) defined by
\( f(x)=\frac{x^{2}+2 x+1}{x^{2}-x-6} \) is equal .... 2024-01-23 If \( f:[-2,2] \rightarrow R \) is defined by \( f(x)=\left\{\begin{array}{l}-1, \text { for }-2.... 2024-01-23 Let \( A=\left\{(x, y): x \in R, y \in R, x^{3}+y^{3}=1\right\}, B=\{(x, y) \)
\( : x \in R, y \.... 2024-01-23 Let \( A=\{x \in R: x \neq 0,-4 \leq x \leq 4\} \) and \( f: A \rightarrow R \) be
defined by \(.... 2024-01-23 Match the following
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multic.... 2024-01-23 If \( R \) is a relation from a finite set \( A \) having \( m \) elements
to a finite set \( B .... 2024-01-23 Let \( n(A)=m \) and \( n(B)=n \). Then the total number of
non-empty relations that can be defi.... 2024-01-23 If \( R \) is a relation on a finite set having \( n \) elements, then
the number of relations o.... 2024-01-23 If \( X=\{1,2,3,4\}, Y=\{2,3,5,7\}, Z=\{3,6,8,9\} \),
\( W=\{2,4,8,10\} \), then.... 2024-01-23 Let \( R \) is a relation from \( \{11,12,13\} \) to \( \{8,10,12\} \) defined by \( y=x-3 \). T.... 2024-01-23 Let \( R \) be a relation from a set \( A \) to a set \( B \), then
(1) \( R=A \cup B \)
(2) \( .... 2024-01-23 Passage
In some question of sets, we have to make the use of graphs.
For example
\[
\begin{array.... 2024-01-23 In a class of 42 students, the number of students
studying different subjects are 23 in mathemat.... 2024-01-23 A relation \( \phi \) from \( \mathrm{C} \) to \( \mathrm{R} \) is defined by \( \mathrm{x} \phi.... 2024-01-23 A relation \( R \) is defined form \( \{2,3,4,5\} \) to \( \{3,6,7 \), \( 10\} \) by : \( x R y .... 2024-01-23 Let \( R \) be a relation on \( N \) defined by \( x+2 y=8 \). Then
domain of \( R \) is
W..... 2024-01-23 Let \( U \) be set with number of elements in it is 2009 and \( A \),
\( B \), are subsets of \(.... 2024-01-23 For any three sets. \( P, Q \) and \( R, s \) is an element of \( (F \) \( \Delta Q) \Delta R \).... 2024-01-23 Passage
In some question of sets, we have to make the use of graphs.
For example
\[
\begin{array.... 2024-01-23 For a set \( \{1,2,\{1,2,3\}\} \). Which of the following
statement is false?
W.....